California Algebra 1, 2008
44

 PAGE: 102 SET: Exercises PROBLEM: 44

First find the perimeter of rectangle.

The perimeter P of a rectangle is given by the formula,

Where L is the length and is W is the width of the rectangle.

The perimeter  P of a rectangle is

(Substitute )

(Apply distributive property: )

(Multiply: )

(Apply commutative property of addition: )

(Apply distributive property: )

Next find the perimeter of square.

The perimeterP of a square is given by the formula,

Wheres s is side length of the square.

The perimeter P of a square is

(Substitute  )

(Multiply: )

Write an equation that represents the situation.

So,

Substitute ,

(Subtract 8x from each side)

(Apply commutative property of addition: )

(Subtract: )

(Divide each side by 4)

(Cancel common terms)

(Divide: )

Check:

To check the solution, substitute in equations.

Compare the values, the equation is true.

Dimension of rectangle:

Length of the rectangle,

Width of the rectangle,

Dimension of square:

Each side length of the square,

Length of the rectangle,

Width of the rectangle,

Each side length of the square, .

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